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Finding the Fourth Proportional to 9,970.68, 14,924.40 and 5,574.80

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Solution

The fourth proportional to 9,970.68, 14,924.40 and 5,574.80 is: 8,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.68 : 14,924.40 = 5,574.80 : x
  2. Step 2: Convert to fraction form
    9,970.68/14,924.40 = 5,574.80/x
  3. Step 3: Cross multiply
    9,970.68x = 14,924.40 × 5,574.80
  4. Step 4: Simplify right side
    9,970.68x = 83,200,545.12
  5. Step 5: Solve for x
    x = 83,200,545.12/9,970.68
  6. Step 6: Final answer
    x = 8,344.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.